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Factor the expression $4x^2-12x-1$

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Solution

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Final answer to the problem

$4\left(x-\frac{3}{2}\right)^2-10$
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Step-by-step Solution

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Learn how to solve completing the square problems step by step online. Factor the expression 4x^2-12x+-1. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (4) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-3x+\frac{9}{4}. Multiply the fraction and term in - \frac{3}{2}.

Final answer to the problem

$4\left(x-\frac{3}{2}\right)^2-10$

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Function Plot

Plotting: $4\left(x-\frac{3}{2}\right)^2-10$

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a
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m
n
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v
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x
y
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.
(◻)
+
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×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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Main Topic: Completing the Square

In elementary algebra, completing the square is a technique for converting a quadratic polynomial of the form ax^2+bx+c to the form a(x+h)^2+k.

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